25 students sat a Science Exam and the Mean score was 73.4%. One student was absent but sat it the next day. Is it possible for the mean to increase to 74% when his score is added? If so, What is the minimum score needed to make this possible? Mean: 73.4%

A triangle (shaded grey) with an area of 36cm2 is cut from a rectangular piece of paper. Show that the remaining trapezium is 𝟔 𝟕 of the whole piece of paper. 6cm 15cm

Alisha buys her bottles for 45p each and also buys a 10p bag Alisha and Ben buy exactly the same number of bottles of water but from two different supermarkets. Alisha buys her bottles for 45p each and also buys a 10p bag Ben buys his bottles for 60p each but has a coupon for £2.30 off If their final bill is exactly the same. How many bottles did they each buy? 45x + 10 = 60x – 2.30 45x + 2.40 = 60x 2.40 = 0.15x 45p each 60p each

I choose 4 numbers for a PIN number. Write down one possible PIN number that satisfy’s ALL the conditions below: 3 of the digits are PRIME numbers and one is a CUBE number All of the digits are DIFFERENT and two are EVEN numbers None of the 4 digits are FACTORS of 25 2 8 3 7

Put the answers to the 4 calculations in order of size, starting with the smallest 𝟐 𝟓 + 𝟐 𝟓 + 𝟐 𝟓 + 𝟐 𝟓 + 𝟐 𝟓 + 𝟐 𝟓 𝟕 × 𝟐 𝟓 𝟓÷𝟏 𝟐 𝟑 3− 𝟐 𝟓 12/5 14/5 15/5=3 13/5